578879935920 has 960 divisors, whose sum is σ = 2369488343040. Its totient is φ = 124731187200.

The previous prime is 578879935891. The next prime is 578879935937. The reversal of 578879935920 is 29539978875.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 935185371 + ... + 935185989.

It is an arithmetic number, because the mean of its divisors is an integer number (2468217024).

Almost surely, 2^578879935920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578879935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184744171520).

578879935920 is an abundant number, since it is smaller than the sum of its proper divisors (1790608407120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

578879935920 is a wasteful number, since it uses less digits than its factorization.

578879935920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 578879935920 in words is "five hundred seventy-eight billion, eight hundred seventy-nine million, nine hundred thirty-five thousand, nine hundred twenty".